82186808 has 32 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 37083360.

The previous prime is 82186787. The next prime is 82186829. The reversal of 82186808 is 80868128.

It is an interprime number because it is at equal distance from previous prime (82186787) and next prime (82186829).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8873 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^82186808 is an apocalyptic number.

82186808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82186808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

82186808 is an abundant number, since it is smaller than the sum of its proper divisors (87157192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82186808 is a wasteful number, since it uses less digits than its factorization.

82186808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 82186808 is about 9065.6940164557. The cubic root of 82186808 is about 434.7778105175. Note that the first 3 decimals are identical.

The spelling of 82186808 in words is "eighty-two million, one hundred eighty-six thousand, eight hundred eight".